Free Vectors and Equilibrium MCQs with Answers
431 Vectors and Equilibrium MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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Read the Vectors and Equilibrium notesFree MDCAT chapter notes with key terms431 questions · page 22 of 22
421. A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum might be:
- A. Zero
- B. 3
- C. 12
- D. 45
Explanation: The magnitude of the sum of two vectors can be determined using the triangle law of vector addition.
Correct answer: 45- A. π/4
- B. π/2c
- C. 2π
- D. None of them
Explanation: Explaination for this question will be added shortly.
Correct answer: π/4- A. 9
- B. 5
- C. 3
- D. 1
Explanation: To calculate the magnitude of a vector, we can use the formula:|A| = √(Ax² + Ay² + Az²Where 'A' is the vector and Ax, Ay, and Az are the…
Correct answer: 3- A. 45 degrees
- B. 135 degrees
- C. 225 degrees
- D. 315 degrees
Explanation: To find the angle subtended by a vector A with the x-axis, we can use the inverse tangent function.
Correct answer: 315 degrees- A. 0°
- B. 60°
- C. 90°
- D. 180°
Explanation: 90°: If the angle between A→ and B→ is 90°, the dot product A→ · B→ would be |A→| |B→| cos(90°) = 0.
Correct answer: 90°- A. Zero
- B. 30
- C. 60
- D. 90
Explanation: In this case dot product is equal to scalar product of two vector A.B= A x B x cos θ In this case on right hand side of equation, ½ will…
Correct answer: 60- A. Cosθ
- B. A.B/B
- C. A.B/A
- D. Sinθ
Explanation: When we talk about the scalar projection of vector B onto vector A, we're looking at the component of vector B that lies in the same…
Correct answer: A.B/A- A. 0
- B. 1
- C. -1
- D. 2
Explanation: The given expression i.(j×k) is an example of a scalar triple product, which represents the volume of the parallelepiped formed by the…
Correct answer: 1- A. Parallel to the plane of F and γ
- B. Perpendicular to the plane of F and γ
- C. Anti parallel to the plane of F and γ
- D. Is the same as that of the plane of F and γ
Explanation: Perpendicular to the plane of F and γ: This option is correct as torque is always perpendicular to the plane defined by the force vector…
Correct answer: Perpendicular to the plane of F and γ430. Axis equal to:
- A. 4
- B. Zero
- C. 2
- D. 1
Explanation: From the given diagram: i x j= k j x k= i k x i= j j x i = -k k x j= -i i x k= -j Now to solve the given expression, k x j= -i so j x -i =…
Correct answer: Zero- A. 0
- B. 1
- C. AB
- D. -AB
Explanation: If the dot product of two nonzero vectors (A) and (B) is zero, it means that they are orthogonal (perpendicular) to each other.
Correct answer: AB